In-class project
Math 308-512
Group
January 22, 1998
Names
Student Velpam Q. Effid used Euler’s method with step size 0.5 to compute the following table of values for the initial value problem y 0 = f (x, y),
y(0) = 1.
n xn yn
0
0
1
1
1 0.5
1 1.5
2
3
3 1.5
4
2 7.5
A. Find a formula for f (x, y) that is compatible with this data.
B. For the f (x, y) you determined, how good an approximation is Euler’s
method with step size 0.5?